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Finding the Fourth Proportional to 458,026.65, 632,293.29 and 305,319.38

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Solution

The fourth proportional to 458,026.65, 632,293.29 and 305,319.38 is: 421,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,026.65 : 632,293.29 = 305,319.38 : x
  2. Step 2: Convert to fraction form
    458,026.65/632,293.29 = 305,319.38/x
  3. Step 3: Cross multiply
    458,026.65x = 632,293.29 × 305,319.38
  4. Step 4: Simplify right side
    458,026.65x = 193,051,392,119.49
  5. Step 5: Solve for x
    x = 193,051,392,119.49/458,026.65
  6. Step 6: Final answer
    x = 421,485.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.